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Finding the Fourth Proportional to 1,835.64, 2,753.58 and 739.86

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Solution

The fourth proportional to 1,835.64, 2,753.58 and 739.86 is: 1,109.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.64 : 2,753.58 = 739.86 : x
  2. Step 2: Convert to fraction form
    1,835.64/2,753.58 = 739.86/x
  3. Step 3: Cross multiply
    1,835.64x = 2,753.58 × 739.86
  4. Step 4: Simplify right side
    1,835.64x = 2,037,263.70
  5. Step 5: Solve for x
    x = 2,037,263.70/1,835.64
  6. Step 6: Final answer
    x = 1,109.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.